Ground states of two-dimensional quasicrystals |
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Authors: | S E Burkov |
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Institution: | (1) Landau Institute for Theoretical Physics, Moscow, USSR |
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Abstract: | Hamiltonians for nonperiodic tilings are considered. It is shown that the quasicrystalline tiling obtained by the cut-and-strip method from aD-dimensional cubic lattice may bs a ground state only if the tiling possesses a high orientational symmetry: the (2,D)-quasicrystal should haveD-fold symmetry ifD is even and 2D-fold symmetry ifD is odd. For interactions of a finite range the restrictions are stronger: only a (2, 5)-quasicrystal (Penrose tiling) may be a stable ground state. |
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Keywords: | Quasicrystal Ground state Tiling |
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